$hp$-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to $\lambda$, h, and p

DOI10.1137/070702515zbMath1211.65149OpenAlexW2037440687MaRDI QIDQ3078547

Stefan A. Sauter

Publication date: 28 February 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070702515

zbMATH Keywords

convergence rateserror estimatesfinite elementseigenfunctionsGalerkin approximationelliptic eigenvalue problems

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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